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Finding the Fourth Proportional to 31,687.42, 47,531 and 7,995.02

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Solution

The fourth proportional to 31,687.42, 47,531 and 7,995.02 is: 11,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.42 : 47,531 = 7,995.02 : x
  2. Step 2: Convert to fraction form
    31,687.42/47,531 = 7,995.02/x
  3. Step 3: Cross multiply
    31,687.42x = 47,531 × 7,995.02
  4. Step 4: Simplify right side
    31,687.42x = 380,011,295.62
  5. Step 5: Solve for x
    x = 380,011,295.62/31,687.42
  6. Step 6: Final answer
    x = 11,992.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.